What is the 2127th prime number?
The 2127th prime number is 18587. The next prime is 18593 (a gap of 6) and the one before is 18583.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 2127th one is 18587.
- 2
18587 is prime because no prime up to ā18587 ā 136.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2127th prime is close to 2127 Ć ln(2127) ā 16298, and here it is 18587.
- 4
18587 has no twin: neither 18585 nor 18589 is prime.
Primes around the 2127th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2124 | 18541 | 2 |
| 2125 | 18553 | 12 |
| 2126 | 18583 | 30 |
| 2127 | 18587 | 4 |
| 2128 | 18593 | 6 |
| 2129 | 18617 | 24 |
| 2130 | 18637 | 20 |
Questions
What is the 2127th prime number?
18587.
Which prime number is 18587?
18587 is the 2127th prime number.
What is the sum of the first 2127 primes?
18,559,830.